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Finding the Fourth Proportional to 82,644.80, 123,984.60 and 43,191.32

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Solution

The fourth proportional to 82,644.80, 123,984.60 and 43,191.32 is: 64,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,644.80 : 123,984.60 = 43,191.32 : x
  2. Step 2: Convert to fraction form
    82,644.80/123,984.60 = 43,191.32/x
  3. Step 3: Cross multiply
    82,644.80x = 123,984.60 × 43,191.32
  4. Step 4: Simplify right side
    82,644.80x = 5,355,058,533.67
  5. Step 5: Solve for x
    x = 5,355,058,533.67/82,644.80
  6. Step 6: Final answer
    x = 64,796.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.